A force of 540 newtons stretches a spring 3 meters. A mass of 45 kilograms is attached to the end of the spring and is Initially released from the equillibrlum position with an upward velccity of 6 m/s. Find the equation of motion. x(t) = OSK YOUIR TEACH

Q: 24 et aretant

A: We need to solve  y''-2y'+y=et arctan(t). Let's find the solution of y" - 2y' + y = 0. The auxiliary…

Q: ds What is the general solution to the differential equation 2 = 5t's³? %3D dt

A:

Q: Match the graphs on the left with the correct equations on the right.

A: The value of sine function  and cosine function is given as x 0 π2 π 3π2 2π y=sinx 0 1 0 -1 0…

Q: 1. Find the Taylor series polynomial expansion of degree 5 of the function cos x at a == 2

A: We want to find Taylor series of f(x) = cos(x) at a = π2

Q: cos o cos(x sin 0); p} = r(p) cos po CoS O %3D = cos ¢ sin (x sin o); p} = r(p) sin po %3D

A:

Q: Question 8. Given the permutations 1 2 3 4 1 2 3 4 5 6 and B = 4 a = 2 6 3 1 1 4 (a) Compute B o a .…

A:

Q: Solve using Gaussian Elimination with back-substitution or Gauss Jordan 5x1 + 2x2 + X3 = 0 2x1 + x2…

A:

Q: Which of the following is the general solution to the differential equation (3х — у + 6)dx + (6х —…

A:

Q: 7. A model of a rectangular stove top with four circular burners is shown. The side lengths of the…

A: Given : Diameter of the burner=6 inches Length of the rectangular stove=22 inches Width of the…

Q: Find the area to the left ofz = -1.96 or to the right of z = 1.96?

A:

Q: Q1: When to use each rule for solving differential equation in order to change the differential…

A: When the differential equation consists of more than one variable in order to keep one variable…

Q: Find the Laplace Transform of (i) e3(2cos 5t - 3sin 5t) (ii) e2tcos² t 4t (iii) e**sin 2t cos t

A:

Q: A landscape architect is designing an elliptical pool that will fit in the center of a 20-by-30-…

A:

Q: Find the Laplace transform of g(t) = 4cos(4t) - 9sin(42) + 2cos(10t) 9 A G(s) = s?+4 s²+16 s?+ 100…

A: To find Laplace transformation of  g(t) = 4cos(4t) - 9 sin(4t)+ 2cos(10t)

Q: Using the method of successive approximation, solve the integral equation, y(x) = ex + y(t) dt.

A:

Q: Expand the function in a power series a,x" with center c = 0. Find a,x". 7+6x n=0 (Express numbers…

A:

Q: Consider the following IVP: y"-3y'+2y = e*; y(0) = 0, y'(0) = 0 Find the general solution.

A: We solve the given DE  y"-3y'+2y=e3t.......(1) y(0)=y'(0)=0......(2)

Q: a×a×a×c×c×c

A: Given expression is a×a×a×c×c×c. We have to simplify the given expression. We know that…

Q: GET A PAPER AND PEN TRY THIS OUTI A very good friend borrowed money from you. You lent her P10,000…

A: You lent P10,000 to your good friend  on charging one time intrest on the full amount .

Q: What is the general solution to the differential equation x = y + y³ cos x ? dx = -2x?(y* sin x +…

A:

Q: Consider the following IVP: y"+a?y = 0; y(0) = 1, y'(0) = 0 Find the general solution.

A:

Q: solve using separation of variables the partial differential equation du = 5- - 00 0 para u(x,0) =…

A: The given partial differential equation is…

Q: Let 12 -24 -3 -32 10 -23 -2 -32 A : 19 -36 -6 -48 -5 12 1 17 Find a matrix P such that D = P- AP is…

A:

Q: Question 9 s+7 Find the Inverse Laplace Transform of s2- 3s – 10 12 5t (A) + -e 7 5 -Sr. 12 21 B 7 7…

A: The given problem is to find the inverse Laplace transform of the given function. Given function…

Q: Verify Stoke's theorem for the vector fi

A:

Q: The Fritzes are buying a house that sells for $119,000. The bank is requiring a minimum down payment…

A: a).  The required amount of down payment is: $119,000*20% =119000*(20/100)=$23,800 b).  Now, the…

Q: Given the matrix below and its corresponding rref(A) and rref(A') 10 0 0 -2 8 -1 -3 10 0 0 0 0 10 0…

A:

Q: Consider the following IVP: у зу -10у - 1, уo) --1, у(0) - 2 Find the general solution. A 13 St re…

A:

Q: Using principle of mathematical induction, prove that 3. 1° + 2° + 3° +.... +n = n(n + 1) 2

A:

Q: . Prove that if m is a positive integer, a# 0 mi is a positive integer, a# 0 112 T (n(a)

A:

Q: Consider the IVP: x" + 3x' +2x = 4t2 ; x(0) = 0, x'(0) = 0.

A:

Q: s+7 Find the Inverse Laplace Transform of 52- 3s – 10 12 (A 7 5 12 -5t B 7 7 © - 5 5 C 12 -21 12 D 7…

A:

Q: -2x-4 Example 8: Use transformations to sketch the function y = 4 + 3 -2 -1 1 9- -2 2.

A: Graph the function

Q: Find the Laplace transform of 0, 12 – 6t + 12, t>3 t < 3 f(t) =

A:

Q: Determine the area of a spherical triangle ABC if A = 120", B = 85° and C = 76', if it has a radius…

A: We have to find the area of the given spherical triangle.

Q: Find the nature and location of singularities of the following functions : z - sin z (i) 1 (ii) (z +…

A:

Q: The total number of subsets of a finite set A has 56 more elements, then the total number of subsets…

A: given a finite set has 56 more elemnets

Q: A curve C is defined by the parametric equations x = 1– t2 y =t – t3 (a) Show that C has two…

A: A parametrized curve is given, x=1-t2, y=t-t3. (a) We have to show that C has two tangents and then…

Q: r1 4 13 40 (a) Find the supremum of the set S :={3; §; 27 81 }, if the supremum exists. Justify your…

A: We have to find the supremum and infimum of given set S and T.

Q: In this question, you are asked to comment on a student's attempt at answering the question detailed…

A: I find out that, two mistakes As BP is hypotenuse  and CP is height of triangle, So BP should be…

Q: Let V={(x,y)|x,y∈R}, with addition and scalar multiplication defined as u+v=(u1+v1,u2+v2) and…

A:

Q: dy What is the general solution to the differential equation -y = (2) sin x ? %3D dx y = x?(2x cos x…

A:

Q: Consider the following IVP: y' +y = e2t; y(0) = 0 Find the general solution. A 5 y(t) = 2 B C y(t) =…

A:

Q: How 1지 - (지f f. ① Find the derivative for dhe follawing funedions? is f(x) Gntimeug ? (b) x-1 영 In()

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: Q7 The line segment x = p- y, 0 <y < p, is revolved about the y-axis to generate the cone as shown…

A: We have to find the surface area about y -axis.

Q: solve x3 + x2 -3x -3 = 0 using incremental search method. With explanation

A: The steps to find the root of the function f(x) by the incremental search method are as follows.…

Q: MO21. An Article in the Journal of Sports Science (1987, Vol. 5, pp. 261-271) presents the results…

A: Given, Mean x¯=15.23Standard deviation, s=0.6117To find: 95% two sided  confidence interval

Q: There is no clause that, when resolved with itself, yields (after factoring) the clause (¬P∨¬Q).

A: Design a truth table

Q: | 3sin(2x) + 1ldæ 4.

A:

Q: The Laplace transform of Ost<n f(t) = t 3 is: F(G) - F(6) =+ O This option This option FG) -- F(0)…

A: